I NEED HELP ASAP PLZZ
Find the length of side a in the right triangle below. Use a calculator to estimate the square root to one decimal place.
17
a
15
The length of the side, a, is approximately
The solution is
Answers
Answer:
b ≈ 13.7
Step-by-step explanation:
use the panthagrean thereom
a^2 + b^2 = c^2
10^2 + b^2 = 17^2
100 + b^2 = 289
-100 -100
b^2 = 189
√b^2 = √189
b = 13.74772708486752
b ≈ 13.7
The length of the side a in the given right-angled triangle is 8 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given right-angled triangle has a base of 15 units and a hypotenuse of 17 units.
Therefore,
17² = 15² + a².
a² = 17² - 15².
a = [tex]\sqrt{289 - 225}[/tex].
a = [tex]\sqrt{64}[/tex].
a = 8 units.
learn more about Pythagoras's theorem here :
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Related Questions
The spinner is spun 240 times. What is a reasonable prediction for the number of times the spinner will land on a 3.
Answers
Answer:120 times
Step-by-step explanation:4/8 = x/240. 4/8 x 240/1 4/1 x 30/1 = 120/1 = 120.
Reduce 8 to 1 and 240 to 30.
Answer:
120
Step-by-step explanation:
10 POINTS Solve for x:
7-2x=9x+19
A.x = 11/12
B.x = -12/11
C.x = 1
Answers
Answer:
Answer is "B"
Step-by-step explanation:
Rearrange terms: 7-2x=9x+19
-2x+7=9x+19
Subtract 7 from both sides of the equation: -2x+7=9x+19
-2x+7-7=9x+19-7
Simplify: -2x=9x+12
Subtract 9x from both sides: -2x=9x+12
-2x-9x=9x+12-9x
simplifiy: -11x=12
solution: x=-12/11
22,064÷394 kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answers
Answer:
hello my fellow brainlier
Step-by-step explanation:
According to my calculations answer will be 56 .TY!
Find the distance between the points (-16, -16) and (8, -16).
Answers
Answer:
24 units
Just add the distance that each is from the origin.
(-16, -16) is 16 away from 0, 0
(8, -16) is 8 away from origin
16 + 8 = 24
This only works because these two points` x-axis coordinates match. It doesn`t work with everything.
Is TA congruent to GO? Proof?
Answers
Answer:
Yeah
Step-by-step explanation:
Need help with 5 and 6 will give branliest to the first to answer
Answers
Answer:
j
Step-by-step explanation:
Answer:
i think the first on is A.
Step-by-step explanation:
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
Answers
Considering that XZ is the perpendicular bisector of segment WY, we have that the value of k is of k = 6.
What is the effect of XZ being the perpendicular bisector of segment WY?It means that XZ divides the segment into two segments of equal length, given by:
WX = XY.
From the lengths given, we can solve for k as follows:
3k + 17 = 7k - 7
4k = 24.
k = 24/4
k = 6.
The value of k is of k = 6.
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Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros
Answers
Answer:
es verdadero
Step-by-step explanation:
Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
Answers
Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
one number is 12 more than twice another number. what are the numbers if their sum is 72?
Answers
Answer: 20, and 52
Step-by-step explanation: lets "translate" the sentence
one number=a
the other numebr b=2a+12
a+b=72
a+2a+12=72
3a=72-12
3a=60
a=60/3=20
a=20
b=52
a=b=72
Question 10 of 10
Jerry drew AJKL and AMNP so that ZK = ZN, LL LP, JK= 6, and
MN = 18. Are AJKL and AMNP similar? If so, identify the similarity postulate
or theorem that applies.
O A. Similar - AA
O B. Cannot be determined
C. Similar - SSS
OD. Similar - SAS
Answers
The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.
It is given that two triangles that are JKL and MNP are considered in which:
∠K = ∠N
∠L = ∠P
JK = 6
MN = 18.
Now, from ΔJKL and ΔMNP, we have
∠K = ∠N (Given in the question)
∠L = ∠P(Given in the question)
Thus, by AA rule of similarity,
ΔJKL is similar to ΔMNP.
Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.
Learn more about similarity here:
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Your question was incomplete. Please refer the content below:
Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or theorem that applies.
A. Similar - AA
B. Cannot be determined
C. Similar - SSS
D. Similar - SAS
Please help me solve this problem
Answers
Answer:
Answer is D.
Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.
Hope this helped. I'm really tired rn so sorry if this wasn't the best.
I need help ASAP
Mateo earns a yearly salary of 40,000. Rico earns a yearly salary of 51,000. Mateo will receive a salary increase of 3,500 per year, and Rico will receive a salary increase of 2,800 per year
Which equation can be used to find n, the number of years it will take Mateo to earn the same salary as Rico?
A: 40,000+3,500n=51,000+ 2,800
B: 40,000+3,500n=51,000n+ 2,800n
C: 40,000n+3,500=51,000n+ 2,800
D: 40,000+3,500n=51,000n+ 2,800
Answers
determine the domain of the following graph
Answers
Answer:
Domain: -3 ≤ x ≤ 9
Step-by-step explanation:
The domain of the graph is the set of all possible x-values.
The set of all possible values as represented on the graph above runs from -3 to 9.
This, domain of the graph is -3 ≤ x ≤ 9
The midpoints of the sides of a square of side 6 are joined to form a new square. This procedure is infinitely repeated for each new square, what is the sum of the areas of all the squares?
Just take the points, I already have the answer!
Answers
Lets see
For side=6
Area=side²=6²=36units²Now midpoints are the connections so diagonal of half side are the sides of new one
New side
√(6/2)2+(6/2)²√3²+3²√183√2New area
(3√2)²=18Again new area will be half of old area
18/2=9Again
9/2=4.5This forms a geometric sequence
First term=a=36Common ratio=r=(0.5)Now
sum for infinite series:-
[tex]\\ \rm\Rrightarrow \dfrac{a}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{1-0.5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{0.5}[/tex]
[tex]\\ \rm\Rrightarrow 72units^2[/tex]
The function g(x) =f(x-6) is a transformation of the parent function, f(x) = x which of the following correctly describes the transformation
A the graph is translated 6 units left
B the graph is translated 6 units right
C the graph is translated 6 units up
D the graph is translated 6 units down
Answers
Answer:
A, I belive
Step-by-step explanation:
Which expression represents the perimeter of the rectangle shown below
Answers
Answer:
D
Add all of the sides together. 2x+1 plus 2x+1 equalls 4x +2
Then add that to (xsquared+3x-2 + xsquared+3x-2) which is 2xsquared +6x-4+4x+2 which equalls D
Its D
------------------
What is the constant in the expression?
15x² + 2x – 3
Answers
Answer: -3
Step-by-step explanation:
Answer:
the constant in this expression is 3
Step-by-step explanation:
the constant is a single number
A cylinder has a base diameter of 20 meters and a height of 5 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answers
Volume = PI x r^2 x h
r -s 1/2 the diameter ( 20/2 = 10)
Volume = 3.14 x 10^2 x 5
Volume = 3.14 x 100 x 5
Volume = 3.14 x 500
Volume = 1570 cubic meters
The answer is 1570.8
There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues
Answers
Answer:
Monthly charges = $70
Intuition charges = $2710
Step-by-step explanation:
There is intuition fee and per month fee for joining the Pine River country club.
Total cost for 7 months is $3200
Total cost for one and a half years is $3970
one and a half years means 18 months.
To find:
Intuition fee and monthly dues?
Solution:
Let the intuition fee = [tex]i[/tex]
Let the monthly dues = [tex]m[/tex]
Total cost for 7 months can be represented as
[tex]i+7m = 3200[/tex] ..... (1)
Total cost for 18 months can be represented as
[tex]i+18m = 3970 .... (2)[/tex]
Here, we have 2 equations and 2 variables whose values are to be found.
Let us use elimination method to solve the equations.
Subtracting equation (1) from (2):
[tex]11m = 770\\\Rightarrow m = 70[/tex]
Therefore, the monthly dues are $70.
Using equation (1), we can find the value of [tex]i[/tex].
[tex]i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710[/tex]
Therefore, intuition charges are $2710.
Need help with this ASAP
Answers
Given:
[tex](3x-2)^9[/tex]
To find:
The coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex].
Solution:
We know that, in the expansion of [tex](x+y)^n[/tex],
[tex]T_{r+1}=^nC_rx^{n-r}y^r[/tex] ...(i)
[tex](3x-2)^9[/tex] has only one x and in [tex]x^6[/tex], the power of x is 6. It is possible if
[tex]n-r=6[/tex]
[tex]9-r=6[/tex]
[tex]9-6=r[/tex]
[tex]3=r[/tex]
Putting n=9, r=3, x=3x and y=-2 in (i), we get
[tex]T_{3+1}=^9C_3(3x)^{9-3}(-2)^3[/tex]
[tex]T_{4}=\dfrac{9!}{3!(9-3)!}\times (3x)^{6}(-8)[/tex]
[tex]T_{4}=\dfrac{9\times 8\times 7\times 6!}{3\times 2\times 1\times (9-3)!}\times (729x^{6})(-8)[/tex]
[tex]T_{4}=84\times (729)\times (-8)\times x^{6}[/tex]
[tex]T_{4}=-489888x^6[/tex]
Therefore, the coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex] is -489888.
Seven less than twice a number is 43.
Answers
Answer:
x = 25
Step-by-step explanation:
Let's start with the sentence
Seven less than twice a number is 43.
Let's rearrange it to make it easier to convert to an equation
Twice a number subtracted by seven is 43
Now let's convert to an equation
Twice a number: 2x
Subtracted: -
Seven: 7
is: =
43
2x - 7 = 43
Now we can simplify by adding 7 to both sides.
2x = 50
Lastly, let's divide by 2 to isolate the x variable.
x = 25
In the figure below, ABD measures 41. What is the measure of ABC?
Answers
Answer:
The answer is 82 degrees.
sort the words into a category based on welther they indicate a positive number or a negative number.
- loss
- gain
- below
- adding
- taking away
- above
Answers
Answer:
Negative numbers: Loss, below, taken away
Positive numbers: Gain, Adding, Above
why dose my teacher make me have my cam on even tho im eating
Answers
Answer:
Probably so she knows you are not playing video games and you are paying attention to what she is saying.
Step-by-step explanation:
Brainliest Please!!
- Hermionia
Answer:
because she's lonely and she misses seeing you guys I guess. My teachers ~itch abt it but they dont make us.
Step-by-step explanation:
You go to a Chicago Bears game. You spend a total of $72 buying brats "b" and hotdogs "h" for your group. You paid $6 per brat and $4 per hotdog. You bought a total of 14 brats and hotdogs. How many of each did you buy?
Answers
Help my 5th Grade son with his I-Ready
The question is Multiply 1 by 5 and the equation is 152 x 61 but there's a box above the number 1 and a box under 6, what do we put and how do we solve it?
Answers
Answer:
well the answer will come out to 9272
Step-by-step explanation:
find the domain and range of {(x, y) : |x| + y ≥ 2}
Answers
Answer:
[tex]\textsf {Domain} : -\infty \: < x < \infty \\\textsf {In interval notation: } (-\infty, \infty)}[/tex]
[tex]\textsf {Range: } f\left(x\right)\le \:2 \\\textsf {In interval notation:} \:(-\infty \:,\:2][/tex]
Step-by-step explanation:
There are no undefined points for the function. So the domain is the set of all x values
The domain of x is (-∞, ∞) so x can be negative or positive. However, |x| is always positive
So if the inequality |x| + y ≥ 2 is to hold good then y has to be less than equal to 2, otherwise the left side drops below 2 and the inequality is not satisfied.
So the range is the set of all values in the interval (-∞, 2)
Check out the graph for a visual interpretation
PLEASE answer i’m begging you
Answers
Answer:
C.
Step-by-step explanation:
The amount of money she has at the beginning of the week.
Which expressions are equivalent to 6 + 12x?
Select each equivalent expression.
Answers
Answer:
2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)
Step-by-step explanation:
Given the expression 6 + 12x.
The following functions are equivalent;
Factoring out common number;
For 2;
2(3) + 2(6x)
2 (3 + 6x)
Factoring out 3;
3(2) + 3(4x)
3 (2 + 4x)
Factoring out 6;
6(1) + 6(2x)
6 (1 + 2x)
Hence the possible equivalent expressions are 2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)